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Finding the Fourth Proportional to 6,219.92, 9,315.30 and 3,442.16

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Solution

The fourth proportional to 6,219.92, 9,315.30 and 3,442.16 is: 5,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.92 : 9,315.30 = 3,442.16 : x
  2. Step 2: Convert to fraction form
    6,219.92/9,315.30 = 3,442.16/x
  3. Step 3: Cross multiply
    6,219.92x = 9,315.30 × 3,442.16
  4. Step 4: Simplify right side
    6,219.92x = 32,064,753.05
  5. Step 5: Solve for x
    x = 32,064,753.05/6,219.92
  6. Step 6: Final answer
    x = 5,155.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.